To solve $h(5)$, we need to examine the graph and find the value of $h$ when $x = 5$.

1. Locate $x = 5$ on the x-axis.
2. Trace the graph upwards to the point where it intersects the line.
3. From that intersection, look at the corresponding $y$-value.

From the graph, when $x = 5$, the value of $y$ appears to be 6.

Therefore, $h(5) = 6$.

Would you like more details or have any questions about this? Here are 5 related questions for further exploration:

1. What is the slope of the function $h(x)$ based on the graph?
2. How can we find the equation of the line from the graph?
3. What is the value of $h(-2)$ using the same graph?
4. How would you calculate the y-intercept of the function from the graph?
5. What would happen to the graph if the slope of the line doubled?

Tip: When reading a graph, always check the scaling on both the x- and y-axes to avoid mistakes when interpreting points.